164/72 as a Decimal and Mixed Number

164/72 as a decimal and mixed number expansion provides the detailed information about what is 164/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/72 as a Decimal
164/72 = 2.2778
Hence,
164/72 as a decimal equals to 2.2778
where,
164/72 is a given fraction,
The decimal expansion of 164/72 is 2.2778

164/72 as a Mixed Number
164/72 = (144 + 20)/72
= 144/72 + 20/72
= 2 + 20/72
= 2 20/72
164/72 = 2 20/72

Hence,
164/72 as a mixed number is 2 ²⁰/₇₂
where,
164/72 is a given fraction,
2 ²⁰/₇₂ is the mixed number representation of 164/72.

The below work with steps provide the detailed information about how to convert fraction 164/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/72.

step 2 The numerator is greater than the denominator of the fraction 164/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/72
= 144 + 20/72
= (2 x 72) + 20/72

step 3 Make the above expression as individual fractions:
= (2 x 72)/72 + 20/72

step 4 Simplify the above expression:
= 2 x 72/72 + 20/72
= 2 + 20/72
= 2 + 5 x 4/18 x 4
= 2 + 5/18
2 + 5/18 can be written as a mixed number 2 ⁵/₁₈.


step 5 Find the decimal equivalent for the fractional part 5/18 in the above expression:
= 2 + 0.2778
= 2.2778
164/72 = 2.2778

Hence,
164/72 as a decimal is 2.2778
164/72 as a mixed number is 2 ⁵/₁₈